Telltale traces of U(1) fields in noncommutative standard model extensions

被引:0
作者
Jaeckel, J
Khoze, VV
Ringwald, A
机构
[1] DESY, D-22607 Hamburg, Germany
[2] Univ Durham, Dept Phys, Durham DH1 3LE, England
[3] Univ Durham, IPPP, Durham DH1 3LE, England
关键词
non-commutative geometry; renormalization group; beyond standard model;
D O I
暂无
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Restrictions imposed by gauge invariance in noncommutative spaces together with the effects of ultraviolet/infrared mixing lead to strong constraints on possible candidates for a noncommutative extension of the Standard Model. In this paper, we study a general class of 4-dimensional noncommutative models consistent with these restrictions. Specifically we consider models based upon a gauge theory with the gauge group U(N-1) x U(N-2) x... x U(N-m) coupled to matter fields transforming in the (anti)-fundamental, bi-fundamental and adjoint representations. Noncommutativity is introduced using the Weyl-Moyal star-product approach on a continuous space-time. We pay particular attention to overall trace-U(1) factors of the gauge group which are affected by the ultraviolet/infrared mixing. We show that, in general, these trace-U( 1) gauge fields do not decouple sufficiently fast in the infrared, and lead to sizable Lorentz symmetry violating effects in the low-energy effective theory. Making these effects unobservable in the class of models we consider would require pushing the constraint on the noncommutativity mass scale far beyond the Planck mass (M-NC greater than or similar to 10(100)M(P)) and severely limits the phenomeno-logical prospects of such models.
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页数:21
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